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I would lead/call shove (or just shove). Even if you can't get top pair to fold, you still have 35-38% equity. With a board this drawy against a bad opponent, you could be up against a big range of hands, many of which fold to 2nd barrels. I really hate check/calling because we are still in good shape and even against a bad player you still have a lot of fold equity
and this:
Text results appended to pokerstove.txt
6,248 games 0.005 secs 1,249,600 games/sec
Board: Js Ts 7d 5h
Dead:
equity win tie pots won pots tied
Hand 0: 49.472% 49.47% 00.00% 3091 0.00 { AsKs }
Hand 1: 50.528% 50.53% 00.00% 3157 0.00 { JJ-TT, 77, AQs-ATs, KTs+, Q9s+, J9s+, T9s, AQo-ATo, KTo+, Q9o+, J9o+, T9o }
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